Free Angular and Linear Quantities MCQs with Answers
317 Angular and Linear Quantities MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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317 questions · page 13 of 16
- A. 0
- B. 90
- C. 60
- D. None of these options are correct
Explanation: Linear acceleration will be maximum if the angle between a and the position vector r is 90°. Hence, Option B is correct.
Correct answer: 90- A. Front wheels
- B. Rear wheels
- C. Outer wheels
- D. Inner wheels
Explanation: The maximum force will be applied on the outer wheels.
Correct answer: Outer wheels- A. Same
- B. Double
- C. 4 times
- D. 8 times
Explanation: If both the speed of a body and radius of its circular path are doubled, then centripetal force also gets doubled.
Correct answer: Double- A. ω= rv
- B. v= rω
- C. ω= v/r2
- D. v= ω/r
Explanation: Relation Between Linear Velocity and Angular Velocity |v| = rω, which is the relation between linear and angular velocity.
Correct answer: v= rω- A. Towards center
- B. Along tangent
- C. Along the directicn of motion
- D. Opposite of the direetlon of motion
Explanation: The direction of the instantaneous velocity is shown at two points along the path.
Correct answer: Towards center- A. ac = v / r
- B. ac = v2 / r
- C. ac = v r
- D. ac = v2 r
Explanation: The instantaneous acceleration (a) in the case of centripetal force can be calculated using the formula a = v2 / r, where: "a" is the…
Correct answer: ac = v2 / r- A. Fc = mω2
- B. Fc = mrω
- C. Fc = mrω2
- D. Fc = mr2ω
Explanation: The formula for centripetal acceleration is Fc=mrω², hence, Option C is correct.
Correct answer: Fc = mrω2- A. Hoop
- B. Disc
- C. Sphere
- D. All at the same time
Explanation: If a hoop, a sphere and a disc are rolling down from an inclined plane simultaneously, the sphere will reach the bottom first.
Correct answer: Sphere- A. Equal
- B. Inversely related
- C. Directly related
- D. No relation
Explanation: When an object undergoes constant linear acceleration, it experiences a change in velocity over time.
Correct answer: Inversely related- A. Zero
- B. Negative
- C. Unity
- D. They can never be equal
Explanation: When the radius (r) becomes equal to 1, the angular velocity (ω) and linear velocity (v) become equal.
Correct answer: Unity- A. v = r x w
- B. v = w x r
- C. w=v x r
- D. r = v x w
Explanation: The relationship between linear velocity and angular velocity can be described using the following equation:v = ω x r
Correct answer: v = w x r- A. Zero
- B. Doubled
- C. Very large
- D. None of these
Explanation: The angular acceleration becomes infinite when r approaches zero (r → 0).The angular acceleration (α) is defined as the rate of change of…
Correct answer: Zero- A. 31.6 cm/s
- B. 301.6 cm/s
- C. 30.6 cm/s
- D. 3016 cm/s
Explanation: v = r w = (8)(12 )r (w=12r, r is radius which is equal to 𝝅)= 8cm x 12𝝅= 8 x 37.68 = 301.44 cm/s (nearest answer would be 301.6 cm/s)
Correct answer: 301.6 cm/s- A. 1.6 rad/s2
- B. 8 rad/s2
- C. 16 rad/s2
- D. 160 rad/s2
Explanation: First, convert the final velocity to m/s: 72 km/h = 20 m/s. Then, find the angular velocity of the wheels using the formula v = rω, where…
Correct answer: 16 rad/s2- A. alpha=2, r=2
- B. alpha=4, r=4
- C. alpha=3, r=0
- D. r=0, alpha=0
Explanation: The acceleration of an object can be determined using the equation a = r × alpha where r is the radius of curvature and alpha is the…
Correct answer: alpha=2, r=2- A. Twice
- B. Four times
- C. Eight times
- D. Remains the same
Explanation: Fc=mrω2Fc ∝ ω2If angular frequency is doubled thenFc ∝ (2ω)2Fc ∝ 4ω2Hence,B is the correct option
Correct answer: Four times- A. 2π
- B. π
- C. Zero
- D. 10π
Explanation: Average speed is defined as the ratio of total distance and total time to cover that distance.
Correct answer: 2π- A. 3.1
- B. 6.3
- C. 3.9
- D. 3.6
Explanation: Given that, diameter 24 inches. Hence the radius 24/2 = 12 inches. 1 revolution = 2πr = 2(π)(12) = 24π.
Correct answer: 3.6- A. It continues moving in a circle
- B. It flies off along a tangent
- C. It falls straight down
- D. None of these options is correct
Explanation: When the string breaks, the centripetal force stops to act. Due to inertia, the stone continues to move along the tangent to circular path.
Correct answer: It flies off along a tangent260. When a body moves in a circle of radius r with angular speed w, its centripetal acceleration is:
- A. wr
- B. rw2
- C. wr2
- D. w/r
Explanation: Centripetal acceleration is the rate of change of tangential velocity Angular speed = w Radius = r aC =( w^2 ) ( r ) so the correct answer…
Correct answer: rw2